A modeling approach for cell growth based on enzyme kinetics

The enzyme kinetics reaction scheme of single enzyme-sub-strate dynamics, originally proposed by V. Henri, is considered. The system of ODEs induced by the reaction scheme is compared to two approximate models, namely the Michaelis-Menten model and the model of exponential decay. Validity conditions for the Michaelis-Menten model are briefly reviewed. A case specific for ``superefficient enzymes'' is used as a setting for a comparison between the three models via computational experiments. The case study proves the importance of validating the applicability of the approximate model. A novel cell growth model is proposed and analyzed. The approach of model development is to make use of the original Henri enzyme kinetics law in the context of metabolic processes in living cells, namely cell growth. Two approximations corresponding to different cell growth phases are introduced in order to study the model analytically.